Use the images to answer the question.

Question

Graph 1

A dot plot titled assessment score per student has a horizontal axis ranging from 72 to 94 in increments of 2.

Graph 2

A dot plot titled Assessment Score per Student has a horizontal axis ranging from 76 to 98 in increments of 2.

Which of the two graphs has a larger average deviation?

(1 point)
Responses

The second graph has a larger average deviation.
The second graph has a larger average deviation.

The average deviation is the same for both graphs.
The average deviation is the same for both graphs.

The first graph has a larger average deviation.
The first graph has a larger average deviation.

It is impossible to tell from these datasets.

Answer 1

To determine which graph has a larger average deviation, we would need to examine the distribution of the scores in each dot plot. The average deviation measures how spread out the values are from the mean—scores farther from the mean contribute to a larger average deviation.

Since I cannot see the actual dot plots, it's impossible for me to directly assess the distribution of scores. However, if one graph has scores that are more spread out from the mean than the other, that graph will have a larger average deviation.

Given the options:

• If you can visually inspect both plots, see which scores are more spread out and choose that option.
• If the distributions appear similar in spread, you might consider that they have the same average deviation.
• If the first graph has scores ranging from 72 to 94 compared to the second's 76 to 98, you mathematically evaluate how far from the average each score is, if you have the data.

Since I don’t have the actual data from the graphs, the correct response would be:

It is impossible to tell from these datasets.

This indicates that we need to see the distributions in order to determine which has the larger average deviation.